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Finding the Fourth Proportional to 401,152.80, 601,729.20 and 134,885.55

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Solution

The fourth proportional to 401,152.80, 601,729.20 and 134,885.55 is: 202,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,152.80 : 601,729.20 = 134,885.55 : x
  2. Step 2: Convert to fraction form
    401,152.80/601,729.20 = 134,885.55/x
  3. Step 3: Cross multiply
    401,152.80x = 601,729.20 × 134,885.55
  4. Step 4: Simplify right side
    401,152.80x = 81,164,574,093.06
  5. Step 5: Solve for x
    x = 81,164,574,093.06/401,152.80
  6. Step 6: Final answer
    x = 202,328.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.